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Finding the Fourth Proportional to 27,208.68, 40,803.42 and 9,675.24

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Solution

The fourth proportional to 27,208.68, 40,803.42 and 9,675.24 is: 14,509.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,208.68 : 40,803.42 = 9,675.24 : x
  2. Step 2: Convert to fraction form
    27,208.68/40,803.42 = 9,675.24/x
  3. Step 3: Cross multiply
    27,208.68x = 40,803.42 × 9,675.24
  4. Step 4: Simplify right side
    27,208.68x = 394,782,881.32
  5. Step 5: Solve for x
    x = 394,782,881.32/27,208.68
  6. Step 6: Final answer
    x = 14,509.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.